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Finding the Fourth Proportional to 157,470.80, 236,206.20 and 106,951.10

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Solution

The fourth proportional to 157,470.80, 236,206.20 and 106,951.10 is: 160,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,470.80 : 236,206.20 = 106,951.10 : x
  2. Step 2: Convert to fraction form
    157,470.80/236,206.20 = 106,951.10/x
  3. Step 3: Cross multiply
    157,470.80x = 236,206.20 × 106,951.10
  4. Step 4: Simplify right side
    157,470.80x = 25,262,512,916.82
  5. Step 5: Solve for x
    x = 25,262,512,916.82/157,470.80
  6. Step 6: Final answer
    x = 160,426.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.